This volume addresses the methods for solving partial differential equations (PDE) systems. The reader should learn how to write computer programs for the numerical analysis of practical engineering problems. Illustrated by examples, it starts by the definition of a programming environment for the solving of PDE systems by the finite element method. Programming the model problem by a finite element method is then addressed in detail. General elliptic problems and evolution problems are then dealt with. Finally, complements on numerical methods, algorithms for parallel computing and...
This volume addresses the methods for solving partial differential equations (PDE) systems. The reader should learn how to write computer programs for...
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible...
This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presentin...
